Details

sample125.0ms

Algorithm

intervals

Results

43.0ms	92×	body	1280	valid
24.0ms	72×	body	640	valid
20.0ms	265×	body	80	valid
9.0ms	41×	body	320	valid
2.0ms	15×	body	160	valid

simplify813.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	745
5	179
4	96
3	56
2	28
1	15
0	6

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ (sin y) y))
0.1b	(/ (sin y) y)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`*-un-lft-identity` `add-cube-cbrt`
13×	`associate-r`
9×	`add-cbrt-cube` `add-exp-log`
4×	`pow1`
3×	`associate-/r` `associate-l` `associate-/l`
2×	`cbrt-undiv` `cosh-def` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

2 → 61

Calls

2 calls:

23.0ms	(* (cosh x) (/ (sin y) y))
6.0ms	(/ (sin y) y)

series175.0ms

Counts

2 → 6

Calls

2 calls:

137.0ms	(* (cosh x) (/ (sin y) y))
38.0ms	(/ (sin y) y)

simplify930.0ms

Counts

67 → 67

Iterations

Iter	Nodes
done	5000
2	1286
1	275
0	120

prune334.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (* (sin y) (/ 1 y)))
0.3b	(* (sin y) (/ 1 y))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
18×	`add-sqr-sqrt`
16×	`add-cbrt-cube`
14×	`associate-r`
13×	`prod-exp`
12×	`*-un-lft-identity`
11×	`times-frac` `add-cube-cbrt`
9×	`pow1`
7×	`cbrt-unprod`
6×	`associate-l`
5×	`associate-*r/`
4×	`div-exp` `pow-prod-down`
3×	`cosh-def` `un-div-inv` `unswap-sqr`
2×	`frac-times` `cbrt-undiv` `rec-exp` `1-exp` `*-commutative` `add-log-exp`
1×	`associate-*l/` `div-inv`

Counts

2 → 63

Calls

2 calls:

25.0ms	(* (cosh x) (* (sin y) (/ 1 y)))
14.0ms	(* (sin y) (/ 1 y))

series120.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(* (cosh x) (* (sin y) (/ 1 y)))
36.0ms	(* (sin y) (/ 1 y))

simplify4.0s

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
2	2983
1	347
0	136

prune388.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cosh x) (/ 1 (/ y (sin y))))
0.1b	(/ y (sin y))
0.3b	(/ 1 (/ y (sin y)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
103×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
89×	`add-cube-cbrt`
44×	`associate-r`
35×	`add-exp-log`
19×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`div-exp`
10×	`div-inv`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1` `associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod` `add-log-exp`
2×	`cosh-def` `clear-num` `frac-2neg` `associate-/r/`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `un-div-inv` `*-commutative` `pow-flip` `inv-pow`

Counts

3 → 178

Calls

3 calls:

35.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
8.0ms	(/ y (sin y))
10.0ms	(/ 1 (/ y (sin y)))

series215.0ms

Counts

3 → 9

Calls

3 calls:

139.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
41.0ms	(/ y (sin y))
34.0ms	(/ 1 (/ y (sin y)))

simplify552.0ms

Counts

187 → 187

Iterations

Iter	Nodes
done	5000
1	690
0	259

prune817.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ (cosh x) (cbrt (/ y (sin y)))) (cbrt (/ y (sin y))))
0.6b	(cbrt (/ y (sin y)))
0.6b	(cbrt (/ y (sin y)))
0.6b	(cbrt (/ y (sin y)))

rewrite241.0ms

Algorithm

rewrite-expression-head

Rules

2636×	`times-frac`
1404×	`cbrt-prod`
1154×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
126×	`div-inv`
53×	`associate-/l*`
21×	`cbrt-div`
18×	`associate-/r/`
16×	`associate-/r*`
9×	`add-exp-log`
6×	`add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
1×	`clear-num` `frac-2neg` `associate-/l/`

Counts

4 → 999

Calls

4 calls:

66.0ms	(/ (/ (cosh x) (cbrt (/ y (sin y)))) (cbrt (/ y (sin y))))
2.0ms	(cbrt (/ y (sin y)))
2.0ms	(cbrt (/ y (sin y)))
2.0ms	(cbrt (/ y (sin y)))

series1.0s

Counts

4 → 12

Calls

4 calls:

303.0ms	(/ (/ (cosh x) (cbrt (/ y (sin y)))) (cbrt (/ y (sin y))))
233.0ms	(cbrt (/ y (sin y)))
234.0ms	(cbrt (/ y (sin y)))
251.0ms	(cbrt (/ y (sin y)))

simplify4.1s

Counts

1011 → 1011

Iterations

Iter	Nodes
done	5001
1	3804
0	1656

prune8.5s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes526.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample5.8s

Algorithm

intervals

Results

1.8s	2923×	body	1280	valid
1.5s	2516×	body	640	valid
1.3s	8469×	body	80	valid
393.0ms	1138×	body	320	valid
139.0ms	622×	body	160	valid